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Mathematics Pseudo-reductive Groups (New Mathematical Monographs)

Posted on 2011-05-20




Name:Mathematics Pseudo-reductive Groups (New Mathematical Monographs)
ASIN/ISBN:0521195608
Publisher:Cambridge University Press
Publish Date:0521195608
Pages:554 pages
File size:3 Mb
Publisher: Cambridge University Press
Publish Date: 2010
ISBN: 0521195608
File Type: PDF
Pages: 554 pages
File Size: 3 MB
   Mathematics Pseudo-reductive Groups (New Mathematical Monographs)

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Brian Conrad, "Pseudo-reductive Groups (New Mathematical Monographs)"

Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications. This self-contained monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. The authors present numerous new results and also give a complete exposition of Tits' structure theory of unipotent groups. They prove the conjugacy results (conjugacy of maximal split tori, minimal pseudo-parabolic subgroups, maximal split unipotent subgroups) announced by Armand Borel and Jacques Tits, and also give the Bruhat decomposition, of general smooth connected algebraic groups. Researchers and graduate students working in any related area, such as algebraic geometry, algebraic group theory, or number theory, will value this book as it develops tools likely to be used in tackling other problems.

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